Question
Show that the Laplace transform of $\sinh(t)\sin(t) = \frac{2s}{s^4+4}$.
Wolfram can't calculate this as is, so I tried to simplify it a bit. I defined $\sinh(t)$ as $e^t-e^{-t}$ and split ...

Consider the infinite sum $s=1+1/2^2-1/3^2-1/4^2+1/5^2+1/6^2-...$. We can see that the series is absolutely convergent and hence convergent. But WolframAlpha seems to give me a different answer. When ...

I've received some code (which I didn't write) and decided at some point to write test cases for the Quaternion math implementation.
I used Wolfram alpha to get the result q1 * q2, where:
q1 = (4.0 ...

Wolfram|Alpha tells me that $\int|\sin(x)| = -\cos(x)\text{sgn}(\sin(x))$ (which happens to also be its derivative), but I don't understand how this is possible, because the resulting function jumps ...